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saw5 [17]
2 years ago
8

The area of a quadrilateral whose vertices is ABCD taken in order are (1,2) (-5,6) (7,-4) and (-2,t) be 0 ,find the value of t

Mathematics
1 answer:
AfilCa [17]2 years ago
3 0
Coordinates : A(1,2) B(-5,6) C(7,-4) D(-2,t) - All are taken in order

gradient of AB = (6-2)/(-5-1) = 4/-6 = -⅔
since it is quadrilateral, AB//CD
gradient of CD = -⅔
equation of CD : y-(-4)=-⅔(x-7)
y+4=-⅔x+14/3
y=-⅔x+⅔
now, sub x=-2 from D(-2,t)
since t is the y-coordinate of point D
t=-⅔(-2)+⅔
t=2

Therefore, t=2
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A train leaves Los Angeles at 2 p.m. heading north at 50 mph. If the next train leaves three hours later and also heads north at
Mamont248 [21]
Since the first train has been travelling for 3 hours, we have the following equations:
d=50t+3*50=50t+150
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We want to know when they will be equal, so set these equal to eachother:
60t=50t+150
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So 15 hours after the second train leaves, they will be at the same distance. This is at 8AM since the second train leaves at 5PM. 
5 0
3 years ago
Read 2 more answers
Alexis says she is thinking about a number whose absolute value is 19. What are the possible numbers she could be thinking of?
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Answer:

I do not understand give a genuine question

4 0
3 years ago
You need to find the LCM of 13 and 14. Would you rather use their multiples or their prime factorizations? Explain.
Vladimir [108]

Answer:

I would rather use their multiples.

Step-by-step explanation:

With 13 and 14, neither number has many factors (and few prime factors, for that matter) so factoring would be pretty much useless. If you wanted to use the prime factors of 14 (7 and 2) multiplying either of them by 13 would not give you the LCM. Actually the LCM is just 13*14 which is 182.

Good luck!

5 0
2 years ago
At Pizzazz Pizza, the total price for 5
ira [324]

Answer:

The answer to your question is $9.5

Step-by-step explanation:

Data

Large pizza = L

Medium pizza = m

Write equation for both situations

Situation 1    5L + 2m = 81.5

Situation 2    4L + 3m = 78.5

Solve the system of equation by elimination

Multiply situation 1 by -3 and situation 2 by 2

                    -15L  - 6m = -244.5

                       8L + 6m =  157

                      -7L           = -87.5

Solve for L                  L = -87.5/-7

                                   L = $12.5

Substitute L in Situation 1 to find m

                     5(12.5) + 2m = 81.5

                       62.5 + 2m = 81.5

                                    2m = 81.5 - 62.5

                                    2m = 19

                                      m = 19/2

                                      m = $ 9.5

The prize of a medium pizza is $9.5

8 0
3 years ago
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